IsTriangular

Tests if a matrix is triangular.

Syntax

• IsTriangular(A[, ε])

  • A is a matrix

  • ε is a positive number

Description

If A is a matrix, not necessarily square, then IsTriangular(A, ε) is true iff A is upper triangular or lower triangular (with epsilon ε).

Examples

A ≔ ❨❨5, 3, 2, 1, 0❩, ❨0, 2, 4, 5, 3❩, ❨0, 0, 1, 2, 3❩, ❨0, 0, 0, 5, 1❩, ❨0, 0, 0, 0, 4❩❩

⎛5  3  2  1  0⎞
⎜0  2  4  5  3⎟
⎜0  0  1  2  3⎟
⎜0  0  0  5  1⎟
⎝0  0  0  0  4⎠

IsTriangular(A)

true

See also

• IsUpperTriangular

• IsLowerTriangular

• IsDiagonal

• IsUpperHessenberg

• IsLowerHessenberg